Question

If A and B are (-2,-2) and (2, - 4), respectively, find the coordinates of P such that
AP = 3/7 AB and p lies on the line segment AB.

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Answer 1

Step-by-step explanation:

The ratio is 3:4=AP/PB

By using section formula

x= -2/7

y=-20/7

This are the co-ordinates of P

Answer 2

Step-by-step explanation:

The coordinates of point A and B are (-2,-2)and (2,-4)respectively

since AP=3/7AB

Therefore, AP:PB=3:4

point P divides the line segment AB in the ratio 3:4

coordinates of P=(3×2+4×(-2)_3+4 , 3×(-4)+4×2)_3+4

=(6-8_7, -12-8_7

=(-2_7, -20_7